4 citations · 4 across the 7 of their papers we have counts for
12 papers
On zero entropy homeomorphisms of the pseudo-arc
Jernej Činč
In this paper we study interval maps with zero topological entropy that are crooked; i.e. whose inverse limit with as the single bonding map is the pseudo-arc. We show that…
Parameterized family of annular homeomorphisms with pseudo-circle attractors
Jernej Činč, Piotr Oprocha
In this paper we construct a paramaterized family of annular homeomorphisms with Birkhoff-like rotational attractors that vary continuously with the parameter, are all homeomorphic…
An upper bound on topological entropy of the Bunimovich stadium billiard map
Jernej Činč, Serge Troubetzkoy
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.49066).
Parametrized family of pseudo-arc attractors: physical measures and prime end rotations
Jernej Činč, Piotr Oprocha
The main goal of this paper is to study topological and measure-theoretic properties of an intriguing family of strange planar attractors. Building towards these results, we first…
S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic…
On Rigid Minimal Spaces
J. P. Boroński, Jernej Činč, Magdalena Foryś-Krawiec
A compact space is said to be minimal if there exists a map such that the forward orbit of any point is dense in . We consider rigid minimal spaces, motivated by…